Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/86, 79/240, 264/254 quickly i.e. 865524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/86, 79/240, 264/254 is 865524.
LCM(83/86, 79/240, 264/254) = 865524
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/86,79/240,264/254
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 83,79,264
Least Common Multiple of Numerators i.e. LCM of 83,79,264 is 1731048.
GCF of Denominators means GCF of 86,240,254 as per the given fractions.
GCF of 86,240,254 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,79,264
Given numbers has no common factors except 1. So, there LCM is their product i.e 1731048
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 83,79,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,79,264) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,79,264) x common factors =1 x 1 = 1
LCM(83,79,264) = ( 83 × 79 × 264 ) / 1
LCM(83,79,264) = 1731048 / 1
LCM(83,79,264) = 1731048
Lets's calculate GCF of 86,240,254
2 | 86, 240, 254 |
43, 120, 127 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1731048/2
Therefore the LCM of Fractions 83/86,79/240,264/254 is 865524
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Greatest Common Factor
We found the factors 86,240,254 . The biggest common factor number is the GCF number.
So the greatest common factor 86,240,254 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 83/86, 79/240, 264/254?
Answer: LCM of Numerators as per given numbers 83/86, 79/240, 264/254 is
LCM of Numerators i.e. for 83,79,264 is 1731048
GCF of denominators i.e. for 86,240,254 is 2.
Thus, LCM of Fractions is 865524.Finally, LCM of Fractions for 83/86, 79/240, 264/254 is 865524.